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Finding the Fourth Proportional to 270,593.09, 405,824.02 and 112,735.43

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Solution

The fourth proportional to 270,593.09, 405,824.02 and 112,735.43 is: 169,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,593.09 : 405,824.02 = 112,735.43 : x
  2. Step 2: Convert to fraction form
    270,593.09/405,824.02 = 112,735.43/x
  3. Step 3: Cross multiply
    270,593.09x = 405,824.02 × 112,735.43
  4. Step 4: Simplify right side
    270,593.09x = 45,750,745,244.05
  5. Step 5: Solve for x
    x = 45,750,745,244.05/270,593.09
  6. Step 6: Final answer
    x = 169,075.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.